arXiv Machine Learning By Juliana Felder, Milad Habibi, Soheyl Massoudi, Mark Fuge

Conditional Flow Matching for ML-Based Inverse Design Problems

Read the original on arXiv Machine Learning →

The paper introduces Conditional Flow Matching (CFM) for engineering inverse design, comparing it to conditional diffusion models and cGANs on EngiBench structural and thermal benchmarks. CFM outperforms the baselines in cumulative and final optimality gaps, mean volume‑fraction deviation, and throughput, achieving up to 66× faster sample generation with fewer network evaluations. The study demonstrates CFM’s effectiveness as a warm‑start generator for gradient‑based refinement in PDE‑constrained design problems.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Oct 16

PotentialEP: Backprop-Free Training of CIFAR-Scale Generative Models via Equilibrium Propagation

The paper introduces PotentialEP, a backpropagation‑free method for training generative models at CIFAR scale using Equilibrium Propagation. It shows that a predictive coding network with a small linear injection can relax to a state that inherently carries the gradient needed for sampling, allowing an Energy Matching model trained with backpropagation to be sampled by relaxation alone with negligible loss in FID. Moreover, the authors demonstrate that training end‑to‑end with Equilibrium Propagation yields FID scores comparable to backpropagation, marking the first competitive CIFAR‑10 generative model trained without backpropagation.

By Alex Gower
arXiv Machine Learning
Sep 22

When Does Adversarial Refinement Help? A Negative Result and Open Problem in Adapting R3GAN to Time Series Imputation

The paper investigates whether the stable GAN architecture R3GAN can improve time‑series imputation when adapted to 1‑D temporal data. Using a coarse‑to‑fine refinement framework and a frequency‑domain discriminator, the authors evaluate 14 saved configurations across three datasets and find a negative result: most configurations either show negligible improvement or degrade performance compared to baseline methods. The study highlights that the usual argument—GANs optimize distributional objectives rather than point‑wise ones—does not fully explain the lack of benefit, and it poses an open problem regarding why a learned discriminator fails to provide useful refinement gradients while diffusion denoisers succeed, offering practical guidance on when adversarial refinement may be worthwhile.

By Yufeng He